Answer:

Step-by-step explanation:
Given
--- volume


Required
The surface area as a function of base length
The volume (V) is calculated as:



Make y the subject

Substitute 3 for V

The surface area of the open box is:


Substitute: 



Hence, the function is:

<span>D. The Baum family pays $78.25 more than the Freeman family.</span>
The line to find: y = mx + b
the line perpendicular to y= 2/5x+6/6 so it has the slope m × 2/5 = -1
thus the slope m = -5/2
the line passes through the point (-2,6) so:
6 = (-5/2)×(-2) + b so b = 1
the equation of the line is y = -5/2x +1
Answer: Angles A and B are complementary angles
If Sin A ≈ 0.766 then Cos B ≈ 0.766.
If Cos B ≈ 0.766 then Sin A ≈ 0.766
Step-by-step explanation: In any given right angled triangle, one angle measures 90 degrees while the addition of the other two angles equals to 90 degrees. Hence if angle C is given as 90 degrees, then angles A and B added together equals 90 degrees (complementary angles equal 90 degrees).
Also, Sin A cannot be the same value as Sin B, since angle A and angle B are not equal in measurement. However, being complementary, the Sin of angle A equals the Cos of angle B.
If Sin A ≈ 0.766, then angle A ≈ 50 degrees
That makes angle B equal to 40 degrees. The Cos of B ≈ 0.766
Therefore if Sin A ≈ 0.766, then Cos B ≈ 0.766
If Cos B ≈ 0.766 then Sin A ≈ 0.766 are both correct
Answer:
0.30 m
Step-by-step explanation:
<u>Explanation</u>:-
Given data is 30 % of m
Algebraic expression:-
The form of the algebraic expression is ax+ by +c
Given data is 30 % of m
here 'of' meaning is multiplied of given term
therefore 
The algebraic expression is 0.30 m